Home / 1,021.18-1,531.75-290.75

Finding the Fourth Proportional to 1,021.18, 1,531.75 and 290.75

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Solution

The fourth proportional to 1,021.18, 1,531.75 and 290.75 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.18 : 1,531.75 = 290.75 : x
  2. Step 2: Convert to fraction form
    1,021.18/1,531.75 = 290.75/x
  3. Step 3: Cross multiply
    1,021.18x = 1,531.75 × 290.75
  4. Step 4: Simplify right side
    1,021.18x = 445,356.31
  5. Step 5: Solve for x
    x = 445,356.31/1,021.18
  6. Step 6: Final answer
    x = 436.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.